A note on quasicentral approximate units in 𝐵(𝐻)

Orr, John L.

doi:10.1090/S0002-9939-1989-0929408-8

Proceedings of the American Mathematical Society

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ISSN 1088-6826 (online) ISSN 0002-9939 (print)

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A note on quasicentral approximate units in $B(H)$
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by John L. Orr

Proc. Amer. Math. Soc. 105 (1989), 149-150

DOI: https://doi.org/10.1090/S0002-9939-1989-0929408-8

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Abstract:

If a Hilbert Space, $H$, is infinite dimensional, $B(H)$ has no countable quasicentral approximate unit for the ideal of finite rank operators.

References

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